a. How many workers are there in each stratum? b. Estimate the mean forced vital capacity among the workers in the plant. How does this estimate differ from the mean that would have been ob- tained if the sample had been taken by simple random sampling? c. Obtain a 95% confidence interval for the population mean. d. What is the gain from stratified random sampling over what would have been obtained from simple random sampling?
a. How many workers are there in each stratum? b. Estimate the mean forced vital capacity among the workers in the plant. How does this estimate differ from the mean that would have been ob- tained if the sample had been taken by simple random sampling? c. Obtain a 95% confidence interval for the population mean. d. What is the gain from stratified random sampling over what would have been obtained from simple random sampling?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Table 3.8 Cumulative Exposure to Pulmonary Stressors and Forced Vital Capacity
Among Workers in a Sample Taken at a Plant Employing 1200 Workers
worker
exposure +
fvc*
popsize
wt1
1
3
81
1200
30
2
3
64
1200
30
3
85
1200
30
4
2
91
1 200
30
3
60
1200
30
1
97
1200
30
7
1
82
1200
30
1
99
1200
30
3
96
1 200
30
10
3
91
1200
30
11
71
1200
30
12
3
88
1200
30
13
84
1200
30
14
3
85
1200
30
15
3
77
1200
30
16
3
76
1 200
30
17
3
62
1200
30
18
3
67
1200
30
19
3
91
1200
30
20
2
99
1 200
30
21
2
70
1200
30
22
1
64
1200
30
23
3
72
1200
30
24
2
72
1200
30
25
3
95
1200
30
26
3
96
1200
30
27
3
62
1200
30
28
3
67
1200
30
29
3
95
1200
30
30
87
1200
30
31
3
84
1200
30
32
3
89
1200
30
33
3
89
1200
30
34
3
65
1200
30
35
3
67
1200
30
36
3
69
1200
30
37
3
80
1200
30
38
3
98
1200
30
39
3
65
1200
30
40
3
84
1200
30
*Percentage of the value expected on the basis of age, gender, and race.
t "1" = low; "2" = medium; “3" = high.
Transcribed Image Text:6.2 Let us suppose that the data from Table 3.8 were obtained from a stratified
random sample of the 1200 workers in the plant in which the workforce was
stratified according to pulmonary stressors (high, medium, low) and that pro-
portional allocation was used to allocate the sample.
EXERCISES
185
a. How many workers are there in each stratum?
b. Estimate the mean forced vital capacity among the workers in the plant.
How does this estimate differ from the mean that would have been ob-
tained if the sample had been taken by simple random sampling?
c. Obtain a 95% confidence interval for the population mean.
d. What is the gain from stratified random sampling over what would have
been obtained from simple random sampling?
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